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3 years ago

Write the equation of a circle with a center at (12, 6) and a radius of 6.

Mathematics

1 answer:

uranmaximum [27]3 years ago

3 0

Answer:

(x-12)² + (y-6)² = 36 (Option C)

Step-by-step explanation:

use circle formula

(x-h)² + (y-k)²= r²

h= 12 and k= 6 and r= 6

(x-12)² + (y-6)² = 6²

6 squared = 36 (6·6)

(x-12)² + (y-6)² = 36

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Answer:

(1) $csc A=\dfrac{17}{8}$

(2) $sec A=\dfrac{17}{15}$

Step-by-step explanation:

$Tan A=\dfrac{8}{15}\\$In Trigonometry, $Tan A=\dfrac{Opposite}{Adjacent}\\$Therefore:\\Opposite=8, Adjacent=15$

Using Pythagoras theorem

$Hypotenuse^2=Opposite^2+Adjacent^2\\Hypotenuse^2=8^2+15^2\\Hypotenuse^2=289\\Hypotenuse^2=17^2\\Hypotenuse=17$

Question 1

Now, cosecant = 1/sin

Therefore:

$csc A=\dfrac{Hypotenuse}{Opposite}\\csc A=\dfrac{17}{8}$

Question 2

Now, secant = 1/cos

Therefore:

$sec A=\dfrac{Hypotenuse}{Adjacent}\\sec A=\dfrac{17}{15}$

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3 years ago

Read 2 more answers

Kareem wants to find the number of hours the average sixth-grader at his school practices an instrument each week. Which is the

Klio2033 [76]

This question is incomplete because the options are missing; here is the complete question:

Kareem wants to find the number of hours the average sixth-grader at his school practices an instrument each week. Which is the best way Kareem can get a representative sample?

A. He can randomly survey 50 boys in the school.

B. He can survey 30 students in the school band.

C. He can randomly survey 50 6th graders in the school.

D. He can survey 20 friends from his neighborhood.

The correct answer is C. He can randomly survey 50 6th graders in the school.

Explanation:

A representative sample is a portion of a population that shows the characteristics of all the population. In this context, for a sample to be representative it needs to include only individuals of the population that is studied. Also, ideally, individuals should be selected randomly as this guarantees the sample is not influenced by the researcher. According to this, option C is the best as this is the only one that focuses on the target population (6th graders) and the sample is random, which contributes to the sample being objective and representing the behavior of 6th-graders.

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3 years ago

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Answer:

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